Performance Analysis of Active RIS-assisted Full-Duplex-Two-Way NOMA System under Finite Blocklength with Hardware Impairments

The active reconfigurable intelligent surface’s (ARIS) potential of avoiding multiplicative fading loss by utilizing integrated reflection-type amplifiers has drawn considerable interest. This paper investigates the performance of ARIS-assisted full-duplex two-way (FDTW) non-orthogonal multiple access (NOMA) (ARIS-FDTW-NOMA) systems under finite blocklength (FBL) transmission regimes by using cascaded Nakagamim fading channels under hardware impairments (HIs). In this system, two users exchange their information simultaneously through NOMA with the help of ARIS. To assess the system performance, we derived the novel analytical expression of average block error rate (ABLER) and system throughput with the help of the Gauss Laguerre quadrature (GLQ) and Gauss Chebyshev quadrature (GCQ) method. Asymptotic analysis is also done at higher transmit power regimes to obtain useful insights. We have also compared the performance of the ARISFDTW- NOMA system with passive-RIS-FDTW-NOMA (PRISFDTW- NOMA) and ARIS-FDTW-orthogonal multiple access (ARIS-FDTW-OMA). Monte Carlo simulations are performed to verify the accuracy of the analytical expressions. Numerical results reveal that our proposed ARIS-FDTW-NOMA system outperforms PRIS-FDTW-NOMA and ARIS-FDTW-OMA scenarios in terms of ABLER and system throughput.